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Series : Lecture Notes in Mathematics, Vol. 1813

Optimal Transportation and Applications

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 2-8, 2001

¥ 3,671 (tax included)

Description

Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Ampere and Monge-Kantorovich theory, shape optimization and mass transportation are linked, among others, to applications in fluid mechanics granular material physics and statistical mechanics, emphasizing the attractiveness of the subject from both a theoretical and applied point of view.

The volume is designed to become a guide to researchers willing to enter into this challenging and useful theory.

Contents

The Monge-Amp`ere Equation and Optimal Transportation, an elementary review

Optimal Shapes and Masses, and Optimal Transportation Problems

Optimal transportation, dissipative PDE's and functional inequalities

Extended Monge-Kantorovich Theory

Existence and stability results in the L1 theory of optimal transportation